Modeling and Mechanics of Granular and Porous Materials

1. Front Matter

   Pages i-xiii

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2. Mechanics of Porous Media

   1. Front Matter

      Pages 1-1

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   2. Constitutive Equations and Instabilities of Granular Materials

      • Félix Darve, Farid Laouafa

      Pages 3-43

   3. Micromechanical Modeling of Granular Materials

      • James T. Jenkins, Luigi La Ragione

      Pages 45-61

   4. Thermodynamic Modeling of Granular Continua Exhibiting Quasi-Static Frictional Behaviour with Abrasion

      • Nina P. Kirchner, Kolumban Hutter

      Pages 63-83

   5. Modeling of Soil Behaviour: from Micro-Mechanical Analysis to Macroscopic Description

      • Roberto Nova

      Pages 85-127

   6. Dynamic Thermo-Poro-Mechanical Stability Analysis of Simple Shear on Frictional Materials

      • Ioannis Vardoulakis

      Pages 129-155

3. Flow and Transport Phenomena in Particulate Materials

   1. Front Matter

      Pages 157-157

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   2. Mathematical Models for Soil Consolidation Problems: a State of the Art Report

      • Davide Ambrosi, Renato Lancellotta, Luigi Preziosi

      Pages 159-180

   3. Flow of Water in Rigid and Non-Rigid, Saturated and Unsaturated Soils

      • Peter A. C. Raats

      Pages 181-210

   4. Mass Exchange, Diffusion and Large Deformations of Poroelastic Materials

      • Krzysztof Wilmański

      Pages 211-242

4. Numerical Simulations

   1. Front Matter

      Pages 243-243

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   2. Continuum and Numerical Simulation of Porous Materials in Science and Technology

      • Wolfgang Ehlers

      Pages 245-292

   3. A Mathematical and Numerical Model for Finite Elastoplastic Deformations in Fluid Saturated Porous Media

      • Lorenzo Sanavia, Bernhard A Schrefler, Paul Steinmann

      Pages 293-340

   4. Numerical Modeling of Initiation and Propagation Phases of Landslides

      • Manuel Pastor, Manuel Quecedo, José A. Fernández-Merodo, Pablo Mira, Tongchun Li, Liu Xiaoqing

      Pages 341-369

Soils are complex materials: they have a particulate structure and fluids can seep through pores, mechanically interacting with the solid skeleton. Moreover, at a microscopic level, the behaviour of the solid skeleton is highly unstable. External loadings are in fact taken by grain chains which are continuously destroyed and rebuilt. Many issues of modeling, even of the physical details of the phenomena, remain open, even obscure; de Gennes listed them not long ago in a critical review. However, despite physical complexities, soil mechanics has developed on the assumption that a soil can be seen as a continuum, or better yet as a medium obtained by the superposition of two and sometimes three con­ and the other fluids, which occupy the same portion of tinua, one solid space. Furthermore, relatively simple and robust constitutive laws were adopted to describe the stress-strain behaviour and the interaction between the solid and the fluid continua. The contrast between the intrinsic nature of soil and the simplistic engi­ neering approach is self-evident. When trying to describe more and more sophisticated phenomena (static liquefaction, strain localisation, cyclic mo­ bility, effects of diagenesis and weathering, ..... ), the nalve description of soil must be abandoned or, at least, improved. Higher order continua, incrementally non-linear laws, micromechanical considerations must be taken into account. A new world was opened, where basic mathematical questions (such as the choice of the best tools to model phenomena and the proof of the well-posedness of the consequent problems) could be addressed.

• Applied Mechanics
• Material Modeling
• Material Science
• Mechanical engineering
• Physical Modeling
• Simulation
• granular material
• hydraulics
• mechanics
• modeling

• Dipartimento di Matematica, Università di Pisa, Pisa, Italy

  Gianfranco Capriz

• Dipartimento di Meccanica e Materiali, Università “Mediterranea” di Reggio Calabria, Reggio Calabria, Italy

  Vito N. Ghionna, Pasquale Giovine

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